3[x-(5+6x)+8]=6x+3

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Solution for 3[x-(5+6x)+8]=6x+3 equation:


Simplifying
3[x + -1(5 + 6x) + 8] = 6x + 3
3[x + (5 * -1 + 6x * -1) + 8] = 6x + 3
3[x + (-5 + -6x) + 8] = 6x + 3

Reorder the terms:
3[-5 + 8 + x + -6x] = 6x + 3

Combine like terms: -5 + 8 = 3
3[3 + x + -6x] = 6x + 3

Combine like terms: x + -6x = -5x
3[3 + -5x] = 6x + 3
[3 * 3 + -5x * 3] = 6x + 3
[9 + -15x] = 6x + 3

Reorder the terms:
9 + -15x = 3 + 6x

Solving
9 + -15x = 3 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
9 + -15x + -6x = 3 + 6x + -6x

Combine like terms: -15x + -6x = -21x
9 + -21x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -21x = 3 + 0
9 + -21x = 3

Add '-9' to each side of the equation.
9 + -9 + -21x = 3 + -9

Combine like terms: 9 + -9 = 0
0 + -21x = 3 + -9
-21x = 3 + -9

Combine like terms: 3 + -9 = -6
-21x = -6

Divide each side by '-21'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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